I am an independent researcher and I am working on a theory that could theoretically determine a temperature value for a single particle. With new equations I've derived, predicts the values in these three graphs. The equations are a function of total ionization energy. https://en.wikipedia.org/wiki/Ionization_energies_of_the_elements_(data_page) By summing all the individual ionization energies together yields the results in these graphs.
The equation that is used to determine the temperature values in the middle graph, is also used to derive the values in the first, and the third graph. Essentially, by knowing the temperature of a nucleus, one could know the thermal velocity of a nucleus and its kinetic energy. Note that the third graph isn't about binding energies of the nucleons, but rather an effective kinetic energy of the nucleus caused by the thermal energy.
I am asking if these results can be verified against experimental data? Only thing I am sure of, is that these values are not overexaggerated, and they could resemble reality.